anonymous
  • anonymous
.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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  • anonymous

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anonymous
  • anonymous
I picked C am i correct?
anonymous
  • anonymous
@Michele_Laino
anonymous
  • anonymous
If not, what is the correct answer, and why? Thanks
Michele_Laino
  • Michele_Laino
we can simplify your function. For example, we can factor out 9 at numerator and 3 at denominator, so we can write this: \[\Large \frac{{9{x^2} + 9x - 18}}{{3x + 6}} = \frac{{9\left( {{x^2} + x - 2} \right)}}{{3\left( {x + 2} \right)}}\]
anonymous
  • anonymous
okay i get it so far....
Michele_Laino
  • Michele_Laino
can you simplify that expression further?
anonymous
  • anonymous
Need a bit of help
Michele_Laino
  • Michele_Laino
ok! try please
anonymous
  • anonymous
kk doin it now...
Michele_Laino
  • Michele_Laino
we have to factorize the numerator
anonymous
  • anonymous
9 (x-1) (x+2)
Michele_Laino
  • Michele_Laino
in order to do that, we have to find two numbers such that their sum is -1 and their product is -2
Michele_Laino
  • Michele_Laino
can you find them?
anonymous
  • anonymous
9 (x-1) (x+2)
Michele_Laino
  • Michele_Laino
ok! sorry,then the simplified expression of our function is: \[\Large \begin{gathered} \frac{{9{x^2} + 9x - 18}}{{3x + 6}} = \frac{{9\left( {{x^2} + x - 2} \right)}}{{3\left( {x + 2} \right)}} = \hfill \\ \hfill \\ = \frac{{9\left( {x + 2} \right)\left( {x - 1} \right)}}{{3\left( {x + 2} \right)}} = 3\left( {x - 1} \right) \hfill \\ \end{gathered} \]
anonymous
  • anonymous
k
Michele_Laino
  • Michele_Laino
namely we have to search for the graph of the function: y= 3x-3
anonymous
  • anonymous
so the slope is 3 right?
Michele_Laino
  • Michele_Laino
correct!
anonymous
  • anonymous
and the y intercept is -3?
Michele_Laino
  • Michele_Laino
right!
anonymous
  • anonymous
so its D?
Michele_Laino
  • Michele_Laino
if I set y=0, then I get x=1, so our line has to pass at point (1,0)
anonymous
  • anonymous
SO its D
Michele_Laino
  • Michele_Laino
furthermore if I set x=2 then I get y=3, so correct!! :)
anonymous
  • anonymous
kk thanks can u help me with a couple more?
Michele_Laino
  • Michele_Laino
I'm very sorry I have to go to sleep now, since it is 00:20 (Italy time zone) from me
anonymous
  • anonymous
ah okay well then goodnight from the United States!
Michele_Laino
  • Michele_Laino
thanks!! from Italy :)

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